SOLUTION: Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches.
How many matches will Anne have to win in a row to improve her winning percentage to
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How many matches will Anne have to win in a row to improve her winning percentage to
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Question 1003706: Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches.
How many matches will Anne have to win in a row to improve her winning percentage to 75%?
How many matches will Anne have to win in a row to improve her winning percentage to 90%? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches.
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How many matches will Anne have to win in a row to improve her winning percentage to 75%?
Let number of new wins be "x"::
(12+x)/(12+20+x) = = 0.75
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(12+x)/(32+x) = (3/4)
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4(12+x) = 3(32+x)
48 + 4x = 96 + 3x
x = 48 (number of new wins)
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How many matches will Anne have to win in a row to improve her winning percentage to 90%?
(12+x)/(32+x) = 0.9
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10(12+x) = 9(32+x)
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120 + 10x = 288 + 9x
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x = 68 (number of new wins)
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Cheers,
Stan H.
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